4-5 Customary Measurements

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

4-5 Customary Measurements

Warm UpSimplify.

416

1.

68

3.

916

2.

1416

4.

14

916

34

78

4-5 Customary Measurements

Problem of the Day

The ratio of the length of U.S. paper currency to its width is about 2.4 to 1. If the length of an actual bill is about 6.2 inches, how wide is a bill? Round your answer to the nearest tenth.

2.6 inches

4-5 Customary Measurements

MA.7.G.4.4 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems.Rev. MA.5.G.5.2

Sunshine State Standards

4-5 Customary Measurements

Weight of 3 applesPound (lb)

Weight of a buffaloTon

Amount of water in 2 tablespoonsFluid ounce (fl oz)Capacity

Capacity of a standard measuring cupCup (c)

Capacity of a large milk jugGallon (gal)

Weight of a slice of breadOunce (oz)Weight

Length of 4 laps around a trackMile (mi)

Length of a standard sheet of paperFoot (ft)

Length of a small paper clipInch (in.)Length

Customary Unit

You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.

4-5 Customary Measurements

Additional Example 1: Choosing the Appropriate Customary Unit

Choose the most appropriate customary unit for each measurement. Justify your answer.

A. the weight of a cartons; The weight of a car is similar to the weight of a buffalo.

inches; The diameter of a soup can is similar to the length of a few paper clips.

pounds; The weight of a newborn baby is similar to the weight of more than a dozen apples.

B. the diameter of a soup can

C. the weight of a newborn baby

4-5 Customary Measurements

Check It Out: Example 1

Choose the most appropriate customary unit for each measurement. Justify your answer.

A. the length of a pen topinch; The length of a pen top is similar to the length of a small paper clip.

pounds; The weight of a pitcher of juice is similar to the weight of about 10 apples.

cups; The capacity of a jar of peanut butter is similar to the capacity of 2 standard measuring cups.

B. the weight of a pitcher of juice

C. the capacity of a jar of peanut butter

4-5 Customary Measurements

4-5 Customary Measurements

Additional Example 2: Converting Customary Units

Convert 5,000 pounds to tons.

Method 1: Use a proportion.

= pounds tons

2,000 1

Write a proportion using a ratio of equivalent measures.

2,000 • x = 1 • 5,000

2000x = 5,000

5,000 m x

x = 2.5

5,000 pounds is equal to 2.5 tons.

4-5 Customary Measurements

Method 2: Multiply by 1.

= 5,000

5,000 lb = 5,000 lb m 1

Multiply by a ratio equal to 1, and cancel the units.

Additional Example 2 Continued

Convert 5,000 pounds to tons.

1 ton t 2,000 lb

1 ton t 2,000

= 2.5 tons

5,000 pounds is equal to 2.5 tons.

4-5 Customary Measurements

Check It Out: Example 2

Convert 24 pints to cups.

Method 1: Use a proportion.

= cups pints

2 1

Write a proportion using a ratio of equivalent measures.

1 • c = 2 • 24

c = 48

c 24

24 pints is equal to 48 cups.

4-5 Customary Measurements

Method 2: Multiply by 1.

= 24

24 pt = 24 pt m1

Multiply by a ratio equal to 1, and cancel the units.

Check It Out: Example 2 Continued

Convert 24 pints to cups.

2 ct 1 pt

2 c 1

= 48 cups

24 pints is equal to 48 cups.

4-5 Customary Measurements

Additional Example 3: Adding or Subtracting Mixed Units of Measure

Allison orders a 6-ounce grilled chicken sandwich. Dominic orders a quarter-pound grilled chicken sandwich. Which sandwich weighs more? Explain.

= ounces

pounds

16 1

First convert a quarter-pound to ounces.

x = 4 oz

x 0.25

Write a proportion using 16 oz = 1 lb.

Allison’s sandwich weighs more because Dominic’s sandwich is only 4 oz.

4-5 Customary Measurements

Check It Out: Example 3

Tedd and Fergie go the hardware store to purchase a bag of nails. Tedd buys a bag of nails that weighs 7 pounds 8 ounces. Fergie buys a bag of nails that weighs 128 ounces. Which bag of nails weighs more? Explain.

= ounces

pounds

16 1

First convert 7 pounds to ounces.

x = 112 oz + 8 oz

x 7

Write a proportion using 16 oz = 1 lb.

Fergie’s bag of nails weigh more because Tedd’s bag only weighs 120 oz.

x = 120 oz

4-5 Customary Measurements

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

4-5 Customary Measurements

Lesson Quiz: Part IChoose the most appropriate customary unit for each measurement. Justify your answer.

1. the capacity of a bathtub

2. the weight of a calculator

3. the length of an indoor sports arena

gallons; similar to the capacity of several large milk jugs

too small to measure in miles, so it should be measured in feet

ounces; similar to the weight of several slices of bread

4-5 Customary Measurements

Lesson Quiz: Part II

4. Convert 13 gallons to quarts.

5. Seth is returning from a 5-mile hike. He passes a

trail sign that says, “3,520 feet to base camp.”

How many more miles does Seth have to hike?

52

2 3

mi

4-5 Customary Measurements

1. Choose the most appropriate customary unit for the given measurement. Justify your answer.

the capacity of an aquarium

A. gallons; similar to the capacity of several large milk jugs

B. gallons; similar to the weight of several buffaloes

C. fluid ounces; similar to the amount of water in several tablespoons

D. fluid ounces; similar to the capacity of several standard measuring cups

Lesson Quiz for Student Response Systems

4-5 Customary Measurements

2. Choose the most appropriate customary unit for the given measurement. Justify your answer.

the weight of a can of soup

A. ounces; similar to the capacity of several large milk jugs

B. inches; similar to the length of several small paper clips

C. ounces; similar to the weight of several slices of bread

D. inches; similar to the weight of several apples

Lesson Quiz for Student Response Systems

4-5 Customary Measurements

3. Choose the most appropriate customary unit for the given measurement. Justify your answer.

the length of a large fish pond

A. Too small to measure in miles, so it should be measured in feet

B. Too small to measure in feet, so it should be measured in inches

C. Too small to measure in miles, so it should be measured in inches

D. Too small to measure in feet, so it should be measured in miles

Lesson Quiz for Student Response Systems

4-5 Customary Measurements

4. Which of the following represents 17 gallons in quarts?

A. 34

B. 51

C. 68

D. 85

Lesson Quiz for Student Response Systems